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Two-post-Newtonian light propagation in the scalar-tensor theory: An N-point mass case
Deng, Xue-Mei1,3; Xie, Yi2,3
Source PublicationPHYSICAL REVIEW D
AbstractWithin the framework of the scalar-tensor theory, its second post-Newtonian (2PN) approximation is obtained with Chandrasekhar's approach. By focusing on an N-point mass system as the first step, we reduce the metric to its 2PN form for light propagation. Unlike previous works, at 2PN order, we abandon the hierarchized hypothesis and do not assume two parametrized post-Newtonian parameters gamma and beta to be unity. We find that although there exist gamma and beta in the 2PN metric, only gamma appears in the 2PN equations of light. As a simple example for applications, a gauge-invariant angle between the directions of two incoming photons for a differential measurement is investigated after the light trajectory is solved in a static and spherically symmetric spacetime. It shows the deviation from the general relativity delta theta(STT) does not depend on beta even at 2PN level in this circumstance, which is consistent with previous results. A more complicated application is light deflection in a 2-point mass system. We consider a case that the light propagation time is much less than the time scale of its orbital motion and thus treat it as a static system. The 2-body effect at 2PN level originating from relaxing the hierarchized hypothesis is calculated. Our analysis shows the 2PN 2-body effect in the Solar System is one order of magnitude less than future similar to 1 nano-arcsecond experiments, while this effect could be comparable with first post-Newtonian component of delta theta(STT) in a binary system with two Sun-like stars and separation by similar to 0.1 AU if an experiment would be able to measure gamma - 1 down to similar to 10(-6).
Subject AreaAstronomy & Astrophysics
WOS HeadingsScience & Technology ; Physical Sciences
Indexed BySCI
WOS Research AreaAstronomy & Astrophysics ; Physics
WOS SubjectAstronomy & Astrophysics ; Physics, Particles & Fields
WOS IDWOS:000307123200008
Citation statistics
Cited Times:20[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China
2.Nanjing Univ, Dept Astron, Nanjing 210093, Jiangsu, Peoples R China
3.Nanjing Univ, Minist Educ, Key Lab Modern Astron & Astrophys, Nanjing 210093, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Deng, Xue-Mei,Xie, Yi. Two-post-Newtonian light propagation in the scalar-tensor theory: An N-point mass case[J]. PHYSICAL REVIEW D,2012,86(4):044007.
APA Deng, Xue-Mei,&Xie, Yi.(2012).Two-post-Newtonian light propagation in the scalar-tensor theory: An N-point mass case.PHYSICAL REVIEW D,86(4),044007.
MLA Deng, Xue-Mei,et al."Two-post-Newtonian light propagation in the scalar-tensor theory: An N-point mass case".PHYSICAL REVIEW D 86.4(2012):044007.
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